Quantum hypothesis testing with group symmetry

Details Quantum hypothesis testing with group symmetry Quantum hypothesis testing with group symmetry

2009-04-04

arxiv.org/abs/0904.0704v2

J. Math. Phys. 50, 103304 (2009)

Physics

Quantum Physics

33 pages

Scientific paper

The asymptotic discrimination problem of two quantum states is studied in the setting where measurements are required to be invariant under some symmetry group of the system. We consider various asymptotic error exponents in connection with the problems of the Chernoff bound, the Hoeffding bound and Stein's lemma, and derive bounds on these quantities in terms of their corresponding statistical distance measures. A special emphasis is put on the comparison of the performances of group-invariant and unrestricted measurements.

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